Question

Math help questions, will reward xoxo thank you !

Answer 1

Distance formula: d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

AB:

1- Substitute A (-3, -4) for (x₁, y₁) and B (5, 2) for (x₂, y₂)

2- Plug them in the formula: AB = √ (5 - (-3))² + (2 - (-4))²

3- Solve:

√ (5 + 3)² + (2 + 4)² =

√ 8² + 6² =

√ 64 + 36 =

√ 100 =

10

AB = 10

What is AB?

C. 10

BC:

1- Substitute B (5, 2) for (x₁, y₁) and C (11, -6) for (x₂, y₂)

2- Plug them in the formula: BC = √ (11 - 5)² + (-6 - 2)²

3- Solve:

√ 6² + (-8)² =

√ 36 + 64 =

√ 100 =

10

What is BC?

A. 10

Answer 2

AB = 10 → C and BC = 10 → A

to calculate the lengths use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (5, 2 )

AB = √(5 + 3 )² + (2 + 4 )² = √(64 + 36 ) = √100 = 10 → C

with (x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (11, - 6 )

BC = √(11 - 5 )² + (- 6 - 2 )² = √(36 + 64 ) = √100 = 10 → A